Question

Find the CP of an article if profit percent is 10% and Selling price is 50.

Answer 1

Answer:

let,C.P=x

and gain%=10%

S.P=(

100

100+gain

)×C.P⇒S.P=

100

110x

newC.P=C.P−50

newS.P=S.P−50

gain%=5%morethanprevious=15%

⇒NewS.P=(

100

100+gain

)×(NewC.P)

⇒(S.P−50)=(

100

100+15

)×(C.P−50)

⇒(

100

110x

−50)=

100

115

×(x−50)

⇒

100

110x

−50=

100

115x

−

2

115

⇒

2

115

−

2

100

=

100

115x

−

100

110x

⇒

2

15

=

100

5x

∴x=150

Answer 2

Given:-

•Profit Percent of an article is = 10%

•Selling Price of an article is = 50 rupees

To Find:-

•Cost Price of an article

Solution:-

we have,

• Profit percent = 10%
• Selling Price= 50 rupees

Using formula:-

$\: \: \sf \: cost \: price = \frac{profit \: percent}{selling \: price} \times 100$

Now substitute the values,

$\: \: \sf \: cost \: price = \frac{1 \cancel 0}{5 \cancel 0} \times 100 \\ \\ \: \: \sf \: cost \: price =20 \: rupees$

Hence, Cost Price of an article is 20 rupees.

$\{rule}{500}$

Additonal Info....

$\: \: \sf \implies \: gain \: percent = \frac{gain}{cost \: price} \times 100 \\ \\ \: \: \sf \implies \: loss \: percent = \frac{loss}{ cost \: price } \times 100 \\ \\ \: \: \sf \implies \: cost \: price = \frac{100}{100 + gain} \times selling \: price \\ \\ \: \: \sf \implies \: selling \: price = \frac{100 + gain \:percent}{100 } \times \: cost \: price \\ \\ \: \: \sf \implies \: selling \: price = \frac{100 - loss \: percent}{100} \times cost \: price \\ \\ \: \: \sf \implies \: cost \: price = \frac{100}{100 - loss \: percent} \times selling\: price$